Mode is the most frequent value of a varying characteristic in a variational series. Distribution mode is the most frequent value of an analyzed characteristic within a specific population, that is, one of characteristic options occurs more frequently that the rest of them.
The mode of a discrete series (a series where the value of a varying characteristic is represented by separate numbers) is the value of the most frequent characteristic. To calculate mode of an interval series, first a modal interval (that is, an interval containing mode) is determined. If intervals are equal, the modal interval is determined based on the highest frequency; if intervals are unequal, it is determined based on the highest density. The mode is calculated by the following formulas:
The mode in the integral series is calculated by the following formula:
Where:
XMo. Minimum limit of the modal interval.
IMo. Modal interval value.
fMo. Modal interval frequency.
fMo-1. Frequency of the interval preceding the modal interval.
fMo+1. Frequency of the interval that follows the modal interval.
See also:
Library of Methods and Models | IModelling.Mode